Fractional diffusion-wave equations on finite interval by Laplace transform

DOI10.1080/10652469.2013.838759zbMath1297.35270OpenAlexW2122912903MaRDI QIDQ2874120

Zhong Wang, Jun-Sheng Duan, Shouzhong Fu

Publication date: 28 January 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.838759

zbMATH Keywords

Laplace transformexplicit solutioninhomogeneous boundary conditionsfractional diffusion-wave equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Laplace transform (44A10) Fractional partial differential equations (35R11)

Related Items (4)

Modeling diffusive transport with a fractional derivative without singular kernel ⋮ A detailed analysis for the fundamental solution of fractional vibration equation ⋮ Modeling and simulation of the fractional space-time diffusion equation ⋮ NUMERICAL SOLUTIONS TO A FRACTIONAL DIFFUSION EQUATION USED IN MODELLING DYE-SENSITIZED SOLAR CELLS

Cites Work

• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
• The fundamental solutions for the fractional diffusion-wave equation
• Wright functions as scale-invariant solutions of the diffusion-wave equation
• Solution for a fractional diffusion-wave equation defined in a bounded domain
• Existence and uniqueness of the solution for a time-fractional diffusion equation
• Time- and space-fractional partial differential equations
• Fractional diffusion and wave equations
• Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation

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